%0 Journal Article %1 PhysRevB.103.L201105 %A Dantas, Renato M. A. %A Wang, Zhe %A Surówka, Piotr %A Oka, Takashi %D 2021 %I American Physical Society %J Phys. Rev. B %K c %N 20 %P L201105 %R 10.1103/PhysRevB.103.L201105 %T Nonperturbative topological current in Weyl and Dirac semimetals in laser fields %U https://link.aps.org/doi/10.1103/PhysRevB.103.L201105 %V 103 %X We study nonperturbatively the anomalous Hall current and its high harmonics generated in Weyl and Dirac semimetals by strong elliptically polarized laser fields in the context of kinetic theory. We find a crossover between perturbative and nonperturbative regimes characterized by the electric field strength E∗=μω2evF (ω, laser frequency; μ, Fermi energy; vF, Fermi velocity). In the perturbative regime, the anomalous Hall current depends quadratically on the field strength (E), whereas the higher-order corrections, as well as high harmonics, vanish at zero temperature. In the nonperturbative regime, the anomalous Hall current saturates and decays as (lnE)/E, while even-order high harmonics are generated when in-plane rotational symmetry is broken. Based on the analytical solution of the Boltzmann equation, we reveal the topological origin of the sharp crossover: the Weyl monopole stays inside or moves outside of the Fermi sphere, respectively, during its fictitious motion in the perturbative or nonperturbative regimes. Our findings establish a nonlinear response intrinsically connected to topology, characteristic of Weyl and Dirac semimetals.

@article{PhysRevB.103.L201105, abstract = {We study nonperturbatively the anomalous Hall current and its high harmonics generated in Weyl and Dirac semimetals by strong elliptically polarized laser fields in the context of kinetic theory. We find a crossover between perturbative and nonperturbative regimes characterized by the electric field strength E∗=μω2evF (ω, laser frequency; μ, Fermi energy; vF, Fermi velocity). In the perturbative regime, the anomalous Hall current depends quadratically on the field strength (E), whereas the higher-order corrections, as well as high harmonics, vanish at zero temperature. In the nonperturbative regime, the anomalous Hall current saturates and decays as (lnE)/E, while even-order high harmonics are generated when in-plane rotational symmetry is broken. Based on the analytical solution of the Boltzmann equation, we reveal the topological origin of the sharp crossover: the Weyl monopole stays inside or moves outside of the Fermi sphere, respectively, during its fictitious motion in the perturbative or nonperturbative regimes. Our findings establish a nonlinear response intrinsically connected to topology, characteristic of Weyl and Dirac semimetals.}, added-at = {2021-11-15T17:31:45.000+0100}, author = {Dantas, Renato M. A. and Wang, Zhe and Sur\'owka, Piotr and Oka, Takashi}, biburl = {https://www.bibsonomy.org/bibtex/2abbca3d09978303deba049e7a81e3cf7/ctqmat}, day = 06, description = {Phys. Rev. B 103, L201105 (2021) - Nonperturbative topological current in Weyl and Dirac semimetals in laser fields}, doi = {10.1103/PhysRevB.103.L201105}, interhash = {b166f5b673aed76181aad33a2bdd6c86}, intrahash = {abbca3d09978303deba049e7a81e3cf7}, journal = {Phys. Rev. B}, keywords = {c}, month = may, number = 20, numpages = {6}, pages = {L201105}, publisher = {American Physical Society}, timestamp = {2023-01-16T14:49:29.000+0100}, title = {Nonperturbative topological current in Weyl and Dirac semimetals in laser fields}, url = {https://link.aps.org/doi/10.1103/PhysRevB.103.L201105}, volume = 103, year = 2021 }